Illustrative Math Alignment: Grade 7 Unit 3

Measuring Circles

Lesson 2: Exploring Circles

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Math Video Collection: Geometry Applications Video Series: Circles	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Circles. There are a total of 13 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Circles and Definition of a Circle
Definition--Circle Concepts--Circle Inscribed in a Triangle	Circle Inscribed in a Triangle Topic Circles Definition An inscribed circle in a triangle is tangent to each of the triangle's sides.	Definition of a Circle
Definition--Circle Concepts--Circle Inscribed in a Triangle	Circle Inscribed in a Triangle Topic Circles Definition An inscribed circle in a triangle is tangent to each of the triangle's sides.	Definition of a Circle
Definition--Circle Concepts--Circle Inscribed in a Triangle	Circle Inscribed in a Triangle Topic Circles Definition An inscribed circle in a triangle is tangent to each of the triangle's sides.	Definition of a Circle
Definition--Circle Concepts--Circumcenter of Triangle	Circumcenter of Triangle Topic Circles Definition The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect, equidistant from the vertices.	Definition of a Circle
Definition--Circle Concepts--Circumcenter of Triangle	Circumcenter of Triangle Topic Circles Definition The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect, equidistant from the vertices.	Definition of a Circle
Definition--Circle Concepts--Circumcenter of Triangle	Circumcenter of Triangle Topic Circles Definition The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect, equidistant from the vertices.	Definition of a Circle
Definition--Circle Concepts--Incenter of a Triangle	Incenter of a Triangle Topic Circles Definition The incenter of a triangle is the point where the angle bisectors intersect, equidistant from the sides.	Definition of a Circle
Definition--Circle Concepts--Incenter of a Triangle	Incenter of a Triangle Topic Circles Definition The incenter of a triangle is the point where the angle bisectors intersect, equidistant from the sides.	Definition of a Circle
Definition--Circle Concepts--Incenter of a Triangle	Incenter of a Triangle Topic Circles Definition The incenter of a triangle is the point where the angle bisectors intersect, equidistant from the sides.	Definition of a Circle
Definition--Circle Concepts--Inscribed Angle	Inscribed Angle Topic Circles Definition An inscribed angle is an angle formed by two chords in a circle that share an endpoint.	Definition of a Circle
Definition--Circle Concepts--Inscribed Angle	Inscribed Angle Topic Circles Definition An inscribed angle is an angle formed by two chords in a circle that share an endpoint.	Definition of a Circle
Definition--Circle Concepts--Inscribed Angle	Inscribed Angle Topic Circles Definition An inscribed angle is an angle formed by two chords in a circle that share an endpoint.	Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle	Hexagon Inscribed in a Circle Topic Circles Definition A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.	Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle	Hexagon Inscribed in a Circle Topic Circles Definition A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.	Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle	Hexagon Inscribed in a Circle Topic Circles Definition A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.	Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle	Square Inscribed in a Circle Topic Circles Definition A square inscribed in a circle has its vertices touching the circle.	Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle	Square Inscribed in a Circle Topic Circles Definition A square inscribed in a circle has its vertices touching the circle.	Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle	Square Inscribed in a Circle Topic Circles Definition A square inscribed in a circle has its vertices touching the circle.	Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle	Triangle Inscribed in a Circle Topic Circles Definition A triangle inscribed in a circle has its vertices on the circle.	Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle	Triangle Inscribed in a Circle Topic Circles Definition A triangle inscribed in a circle has its vertices on the circle.	Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle	Triangle Inscribed in a Circle Topic Circles Definition A triangle inscribed in a circle has its vertices on the circle.	Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle	Point of Tangency to a Circle Topic Circles Definition The point of tangency is the point where a tangent line touches the circle.	Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle	Point of Tangency to a Circle Topic Circles Definition The point of tangency is the point where a tangent line touches the circle.	Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle	Point of Tangency to a Circle Topic Circles Definition The point of tangency is the point where a tangent line touches the circle.	Definition of a Circle
Definition--Circle Concepts--Concentric Circles	Concentric Circles Topic Circles Definition Concentric circles are circles that share the same center but have different radii.	Definition of a Circle
Definition--Circle Concepts--Concentric Circles	Concentric Circles Topic Circles Definition Concentric circles are circles that share the same center but have different radii.	Definition of a Circle
Definition--Circle Concepts--Concentric Circles	Concentric Circles Topic Circles Definition Concentric circles are circles that share the same center but have different radii.	Definition of a Circle
Definition--Circle Concepts--Tangent Circles	Tangent Circles Topic Circles Definition Tangent circles are two or more circles that intersect at exactly one point.	Definition of a Circle
Definition--Circle Concepts--Tangent Circles	Tangent Circles Topic Circles Definition Tangent circles are two or more circles that intersect at exactly one point.	Definition of a Circle
Definition--Circle Concepts--Tangent Circles	Tangent Circles Topic Circles Definition Tangent circles are two or more circles that intersect at exactly one point.	Definition of a Circle
Definition--Circle Concepts--Tangent Circles	Tangent Circles Topic Circles Definition Tangent circles are two or more circles that intersect at exactly one point.	Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane	Circles on a Coordinate Plane Topic Circles Definition Circles on a coordinate plane are defined by their center coordinates and radius. Description Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is (x − h)2 + (y − k)2 = r2	Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane	Circles on a Coordinate Plane Topic Circles Definition Circles on a coordinate plane are defined by their center coordinates and radius. Description Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is (x − h)2 + (y − k)2 = r2	Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane	Circles on a Coordinate Plane Topic Circles Definition Circles on a coordinate plane are defined by their center coordinates and radius. Description Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is (x − h)2 + (y − k)2 = r2	Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections	Circular Cross-Sections Topic Circles Definition Circular cross-sections are the intersections of a plane with a solid that result in a circle.	Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections	Circular Cross-Sections Topic Circles Definition Circular cross-sections are the intersections of a plane with a solid that result in a circle.	Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections	Circular Cross-Sections Topic Circles Definition Circular cross-sections are the intersections of a plane with a solid that result in a circle.	Definition of a Circle
Definition--Circle Concepts--Equation of a Circles	Equation of a Circle Topic Circles Definition The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.	Definition of a Circle
Definition--Circle Concepts--Equation of a Circles	Equation of a Circle Topic Circles Definition The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.	Definition of a Circle
Definition--Circle Concepts--Equation of a Circles	Equation of a Circle Topic Circles Definition The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.	Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter	Ratio of Circumference to Diameter Topic Circles Definition The ratio of the circumference to the diameter of a circle is the constant π.	Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter	Ratio of Circumference to Diameter Topic Circles Definition The ratio of the circumference to the diameter of a circle is the constant π.	Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter	Ratio of Circumference to Diameter Topic Circles Definition The ratio of the circumference to the diameter of a circle is the constant π.	Definition of a Circle
Definition--Circle Concepts--Circumference	Circumference Topic Circles Definition The circumference of a circle is the distance around the circle, calculated as C = 2πr. Description The circumference is a fundamental concept in geometry, representing the perimeter of a circle. It is widely used in fields such as engineering, design, and manufacturing, where precise measurements of circular objects are required. The formula C = 2πr	Definition of a Circle